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Finding the Fourth Proportional to 9,004.50, 13,506.81 and 2,848.50

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Solution

The fourth proportional to 9,004.50, 13,506.81 and 2,848.50 is: 4,272.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,004.50 : 13,506.81 = 2,848.50 : x
  2. Step 2: Convert to fraction form
    9,004.50/13,506.81 = 2,848.50/x
  3. Step 3: Cross multiply
    9,004.50x = 13,506.81 × 2,848.50
  4. Step 4: Simplify right side
    9,004.50x = 38,474,148.29
  5. Step 5: Solve for x
    x = 38,474,148.29/9,004.50
  6. Step 6: Final answer
    x = 4,272.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.